1) Let's simplify that expression into smaller bases:
Using the property of powers we can rewrite the original expression into a smaller base. So we can have:
[tex]\begin{gathered} (8^5)^6_{}=8 \\ ((2^3)^5)^6^{}=2^3 \\ 2^{90}=2^3 \end{gathered}[/tex]Note that we went down from a base 8 to base 2. And we increased the exponents but the expressions are equivalent.
